577166 ÷ 38 
We want to figure out the number of times 577166 can be divided by 38.

On to step 1:
5 divided by 38 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 38

Moving on to step 2:
When dividing 57 by 38, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 38 from 57 to get 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 38

Let's proceed to step 3:
38 can be fit into 197 5 times, resulting in a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 190 from 197 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 38

Let's proceed to step 4:
38 goes into 71 1 times with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 151.0
Subtract 38 from 71 to get 33.
Append the next digit (6) from the dividend to 33 and continue with: 336 / 38

Moving on to step 5:
If we divide 336 by 38, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1518.0
Subtract 304 from 336 to get 32.
Grab the next digit (6) from the dividend, add it to 32, then carry on: 326 / 38

Step 6:
If we divide 326 by 38, we get 8 and a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 15188.0
If we take 304 away from 326, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
38 goes into 220 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 15188.5
Subtract 190 from 220 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
38 goes into 300 7 times with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 15188.57
Subtract 266 from 300 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
38 can be fit into 340 8 times, resulting in a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 15188.578
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 10:
38 can be fit into 360 9 times, resulting in a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 15188.5789
Subtracting 342 from 360 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 15188.57894
Deduct 152 from 180 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 12:
38 can be fit into 280 7 times, resulting in a remainder of 14.
The next digit of our result is 7. 
Result so far: 15188.578947
Subtracting 266 from 280 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
If we divide 140 by 38, we get 3 and a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 15188.5789473
If we subtract 114 from 140, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 14:
If we divide 260 by 38, we get 6 and a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 15188.57894736
Deduct 228 from 260 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 15188.57894736, and the remainder is 3.2e-08.